Search a number
-
+
13103857801 = 6131122221
BaseRepresentation
bin11000011010000110…
…10000000010001001
31020211020012221120201
430031003100002021
5203314041422201
610004141052201
7642503645026
oct141503200211
936736187521
1013103857801
115614871351
122658557061
13130aa66418
148c448254d
1551a619801
hex30d0d0089

13103857801 has 12 divisors (see below), whose sum is σ = 13367654212. Its totient is φ = 12841812000.

The previous prime is 13103857777. The next prime is 13103857817. The reversal of 13103857801 is 10875830131.

It can be written as a sum of positive squares in 2 ways, for example, as 3868840000 + 9235017801 = 62200^2 + 96099^2 .

It is not a de Polignac number, because 13103857801 - 211 = 13103855753 is a prime.

It is a super-3 number, since 3×131038578013 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13103857861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5898871 + ... + 5901091.

Almost surely, 213103857801 is an apocalyptic number.

It is an amenable number.

13103857801 is a deficient number, since it is larger than the sum of its proper divisors (263796411).

13103857801 is an frugal number, since it uses more digits than its factorization.

13103857801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The spelling of 13103857801 in words is "thirteen billion, one hundred three million, eight hundred fifty-seven thousand, eight hundred one".

Divisors: 1 61 311 2221 18971 96721 135481 690731 5899981 42134591 214817341 13103857801